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133,853

133,853 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

133,853 (one hundred thirty-three thousand eight hundred fifty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20ADD.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
1,080
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
358,331
Square (n²)
17,916,625,609
Cube (n³)
2,398,194,087,641,477
Divisor count
2
σ(n) — sum of divisors
133,854
φ(n) — Euler's totient
133,852

Primality

133,853 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133853
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,853)
1 × 133853
First multiples
133,853 · 267,706 (double) · 401,559 · 535,412 · 669,265 · 803,118 · 936,971 · 1,070,824 · 1,204,677 · 1,338,530

Sums & aliquot sequence

As a sum of two squares: 53² + 362²
As consecutive integers: 66,926 + 66,927

Continued fraction of √n

√133,853 = [365; (1, 6, 9, 2, 16, 6, 2, 2, 2, 3, 11, 1, 2, 2, 1, 3, 7, 1, 2, 6, 2, 1, 2, 1, …)]

Representations

In words
one hundred thirty-three thousand eight hundred fifty-three
Ordinal
133853rd
Binary
100000101011011101
Octal
405335
Hexadecimal
0x20ADD
Base64
Agrd
One's complement
4,294,833,442 (32-bit)
Scientific notation
1.33853 × 10⁵
As a duration
133,853 s = 1 day, 13 hours, 10 minutes, 53 seconds
In other bases
ternary (3) 20210121112
quaternary (4) 200223131
quinary (5) 13240403
senary (6) 2511405
septenary (7) 1065146
nonary (9) 223545
undecimal (11) 91625
duodecimal (12) 65565
tridecimal (13) 48c05
tetradecimal (14) 36acd
pentadecimal (15) 299d8

As an angle

133,853° = 371 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωνγʹ
Mayan (base 20)
𝋰·𝋮·𝋬·𝋭
Chinese
一十三萬三千八百五十三
Chinese (financial)
壹拾參萬參仟捌佰伍拾參
In other modern scripts
Eastern Arabic ١٣٣٨٥٣ Devanagari १३३८५३ Bengali ১৩৩৮৫৩ Tamil ௧௩௩௮௫௩ Thai ๑๓๓๘๕๓ Tibetan ༡༣༣༨༥༣ Khmer ១៣៣៨៥៣ Lao ໑໓໓໘໕໓ Burmese ၁၃၃၈၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠫝
CJK Unified Ideograph-20Add
U+20ADD
Other letter (Lo)

UTF-8 encoding: F0 A0 AB 9D (4 bytes).

Hex color
#020ADD
RGB(2, 10, 221)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.221.

Address
0.2.10.221
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.221

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 133,853 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 133853 first appears in π at position 17,306 of the decimal expansion (the 17,306ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.